Information on Result #696422
Linear OA(2799, 198, F27, 57) (dual of [198, 99, 58]-code), using construction X applied to Ce(56) ⊂ Ce(49) based on
- linear OA(2793, 183, F27, 57) (dual of [183, 90, 58]-code), using an extension Ce(56) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(2784, 183, F27, 50) (dual of [183, 99, 51]-code), using an extension Ce(49) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(276, 15, F27, 6) (dual of [15, 9, 7]-code or 15-arc in PG(5,27)), using
- discarding factors / shortening the dual code based on linear OA(276, 27, F27, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,27)), using
- Reed–Solomon code RS(21,27) [i]
- discarding factors / shortening the dual code based on linear OA(276, 27, F27, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,27)), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2799, 99, F27, 2, 57) (dual of [(99, 2), 99, 58]-NRT-code) | [i] | OOA Folding | |